As a guy who has been sexually assaulted by 2 women over the course of my life, once as a minor, and as a guy who had a drunken girl "jokingly" accuse him of raping her (which I did not do, quite the opposite), despite her specifically asking me to "keep an eye on her 'cause she acts stupid when she's drunk" I don't find the casual disregard for due process very amusing. Yes, statistically, the number of false accusations might be low, and I don't think anyone should feel it's pointless to file a complaint against a potential predator, but I also don't think that people should just automatically believe someone because they said something, especially when that statement has such massive ramifications.
The idea that we should just ignore due process because the percentage of false accusations is small, seems terrifying to me. I sure wouldn't want that for anyone accused of murder. Where we just say "hey, well someone said he did it, so we'll just all act like he did, without any evidence to back it up." And while I'm quite certain, given the corruption of our legal system, that this very thing does happen, nobody considers it a GOOD IDEA. It's always framed as a Very Bad Thing, that people get punished for crimes simply based on accusations. So I fail to see it being a good idea regarding sexual assault as well, or any crime.